7th grade

Quick reference: What are these tools?

Problems of the Month: Non-routine problems designed to be used schoolwide to promote a problem-solving theme. Each problem is divided into five levels of difficulty, Level A (primary) through Level E (high school). The problems are aligned to the Common Core standards. Learn more here.

Performance assessment tasks: Grade-level formative performance assessment tasks with accompanying scoring rubrics and discussion of student work samples. The tasks are aligned to the Common Core standards. Learn more here.

Classroom videos: Videos of public lessons and number talks, most based on performance assessment tasks, that have been extensively field-tested in multiple settings and refined over time. Learn more here.

Formative re-engaging lessons: Videos of a classroom lesson involving re-engagement around a mathematical concept following a cycle of inquiry, instruction, assessment, analysis, and selection. These lessons include lesson plans, student pages, pre- and post-assessments, and supporting instructional materials. Learn more here.

Please note that not all types of resources are available at every grade.

These resources are organized by mathematical strand and refer to specific Common Core math content standards.

Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measurements of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate, and assess the reasonableness of answers, using mental computation and estimation strategies.

Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a sample population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.

Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicates greater likelihood. A probability near 0 indicates an unlikely event, a probability around ½ indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

Approximate the probability of a chance event by collecting data on the chance process that produces it observing its long-run relative frequency, and predict the approximate relative frequency given the probability.

Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies. If the agreement is not good, explain possible sources of discrepancy.